Based on the following information, what is the maximum width of the walkway?You are building a walkway of uniform width around a 100 ft by 60 ft...

The swimming pool is 100 by
60

Let a be the width of the
walkway.

Then the perimeter
is:

P1 = 2*100 + 2*60 = 320
ft.

However, the fence measures 450
ft.

Then we have a rectangle around the swimming pool whose
perimeter is 450
ft.

Then:

Let x be the width
and y be the length.

 p2 = 2*x + 2*y =
450.............(1)

==> x = 60 +
2a      

==> y= 100 +
2a   

Now substiute in
(1)

==> 2(60+2a) + 2(100+2a) =
450

==> 120 + 4a + 200 + 4a =
450

==> 8a = 450 -
320

==> 8a =
130

==> a=
130/8

==> a= 16.25
ft

Then the width of the walkway is 16.25
ft.